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Finding the Fourth Proportional to 490,640.95, 676,985.25 and 286,652.47

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Solution

The fourth proportional to 490,640.95, 676,985.25 and 286,652.47 is: 395,522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,640.95 : 676,985.25 = 286,652.47 : x
  2. Step 2: Convert to fraction form
    490,640.95/676,985.25 = 286,652.47/x
  3. Step 3: Cross multiply
    490,640.95x = 676,985.25 × 286,652.47
  4. Step 4: Simplify right side
    490,640.95x = 194,059,494,066.07
  5. Step 5: Solve for x
    x = 194,059,494,066.07/490,640.95
  6. Step 6: Final answer
    x = 395,522.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.